Hooke’s Law states that the force needed to compress or extend a spring is directly proportional to the distance you stretch it. As an equation, Hooke’s Law can be represented as F = kx, where F is the force we apply, k is the spring constant, and x is the extension of the material (typically in meters).
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How do I calculate my extension length?
- For each result, calculate the extension: extension = length – unloaded length.
- Plot a line graph with extension on the vertical axis, and force on the horizontal axis.
- Identify the range of force over which the extension of the spring is directly proportional to the weight hanging from it.
How do you calculate the extension of a wire?
Where stress is the amount of force applied per unit area (ฯ = F/A) and strain is extension per unit length (ฮต = dl/l). Since the force F = mg, we can obtain the Young’s modulus of a wire by measuring the change in length (dl) as weights of mass m are applied (assuming g = 9.81 metres per second squared).
What is extension in Hooke’s Law?
The extension of a material or a spring is its increase in length when pulled. Hooke’s Law says that the. extension of an elastic object is directly proportional to the force applied to it.
What’s Hooke’s Law in physics?
Hooke’s law, law of elasticity discovered by the English scientist Robert Hooke in 1660, which states that, for relatively small deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load.
How do you find the extension of a spring with load and length?
How do you calculate how far a spring will stretch?
The work that must be done to stretch spring a distance x from its equilibrium position is W = ยฝkx2. Details of the calculation: (a) Given: F = mg = (4 kg)(9.8 m/s2) = 39.2 N. x = 0.025 m.
How do you calculate strain?
Strain occurs when force is applied to an object. Strain deals mostly with the change in length of the object. Strain = ฮ L L = Change in Length Original Length .
What is the formula for finding strain?
Strain is a unitless quantity and is represented by the letter epsilon (ฮต). Strain formula = ฮ x/x, where, ฮ x = change in dimension of the body and x = original dimension of the body. Strain is developed in response to the stress produced. More the stress, the more the strain.
Is displacement same as extension?
Displacement is the distance from your current point to your point of origin. Extension/Compression refers to the displacement from the equilibrium of the spring.
Is compression and extension the same?
Extension springs and compression springs aren’t the same. Extension springs are intended for use when two components try and pull away from each other. In comparison, compression springs are intended for use when two components try and push towards each other.
How do you calculate work done on a force extension graph?
Is weight proportional to extension?
The amount of extension in a spring is proportional to the weight hung on it.
What formula is 1 2kx 2?
Other than Hooke’s Law, the equation for the potential energy function, U=1/2kx^2, is essentially used when determining the spring potential energy.
What is Hooke’s Law and Young’s modulus?
Hooke’s law is a fondamental rule of thumb applied on skin that describes a direct proportionality link between the force applied on an object and the induced strain. Young’s Modulus is a constant coefficient stiffness*, named k, which describes how stiff is the skin or how likely it is to deform.
What is the formula of spring force?
F = -kx. The proportional constant k is called the spring constant. It is a measure of the spring’s stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position.
Why is Hooke’s law used?
It is used in breathing (lungs), skin, spring beds, diving boards and cars suspension systems. It is used as a fundamental principle behind the manometer, spring scale and balance wheel of the clock. It is also used as the foundation for seismology, acoustics and molecular mechanics.
How do you calculate the mean extension of a spring?
Calculate the stretching force = weight of masses: W = mg. Calculate: extension = stretched length โ original length.
What is Extension load?
A line plotted from the results of a tensile test on metal, the loads being shown as ordinates and the elongations of the gage length as abscissae, thus relating the extension of the material under test to the applied load. See Also: stress-strain curve.
What is the relationship between load and extension?
The reason for this assumption is based in Hooke’s Law which states that extension is proportional to load. If load increases so does extension and stretching distance.
How do you calculate the force needed to stretch?
How do you find the length of a spring in physics?
The total length L of a spring under extension is equal to the nominal length plus the extension, L = L 0 + x L=L_0 + x L=L0+xL, equals, L, start subscript, 0, end subscript, plus, x.
How do you find the length of a spring?
Overall length = Pickup length + Pre-load length + Working extension + (Inside diameter x 3.14 x 1.5).
Is strain the same as extension?
Strain is defined as extension per unit length. Strain has no units because it is a ratio of lengths.
What is shear strain formula?
To calculate the strain energy density for a material under plane shearing stress, use the equation u = ยฒ/(2G) , where: โ Shear stress applied to the material; G โ Shear modulus of the material; and. u โ Srain energy density (energy per unit volume).